You are buying plants and soil for your garden. The soil cost $4 per bag and the plants cost $10 each. You want to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

Answers

Answer 1

Answer:

The system of linear inequalities to model the situation is written as:

x + y ≥ 5..... Equation 1

4x + 10y ≤ 100..... Equation 2

Step-by-step explanation:

Let

The number is soil = x

The number of plants = y

You are buying plants and soil for your garden.

You want to buy at least 5 plants

At least = greater than or equal to with the inequality sign(≥)

Hence:

x + y ≥ 5..... Equation 1

The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.

No more than means Less than or equal to with the inequality sign( ≤ )

Hence:

$4 × x +$10 × y ≤ $100

= 4x + 10y ≤ 100..... Equation 2

Therefore, the system of linear inequalities to model the situation is written as:

x + y ≥ 5..... Equation 1

4x + 10y ≤ 100..... Equation 2


Related Questions

solve for b? please help me ASAP!!

Answers

Answer:

b = [tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 6² = 9²

b² + 36 = 81 ( subtract 36 from both sides )

b² = 45 ( take the square root of both sides )

b = [tex]\sqrt{45}[/tex]

Please Help! Freshman in Highschol for Algebra 1​

Answers

Answer:

Disagree 15 minutes

Step-by-step explanation:

Simplify: (3+√5)(4-√5)

Answers

Answer:

7+√5

Step-by-step explanation:

Answer:

7+[tex]\sqrt{5}[/tex]

Step-by-step explanation:

..........................................​

Answers

Hey again!

The answer to your question is 4/3

This is because it is larger than one, so it would make it bigger than the original drawing.

Hope it helps and let me know if there's anything else. Have a great day!

How many dots would be in Figure 17?

Answers

Answer:

306

Step-by-step explanation:

It says round all calculations to one decimal point
Pls show workings it due in a hour

Answers

Answer:

[tex]2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}[/tex]

Step-by-step explanation:

The distance between two coordinates is given by:

[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}[/tex], or [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.

The distance between [tex](3, -2)[/tex] and [tex](7, 0)[/tex] is:

[tex]d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}[/tex]

The distance between [tex](3, -2)[/tex] and [tex](5, 5)[/tex] is:

[tex]d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}[/tex]

[tex]d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}[/tex].

Therefore, the total perimeter of the triangle is:

[tex]\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}[/tex].

Please help I can figure this out and I have a time limit I need help ASAP!

Answers

Answer:

The circle has a circumference of approximately 31.4 square inches.

Step-by-step explanation:

We're told that the diameter is equal to ten inches.  

The circumference of a circle is the perimeter of it. And that is equal to the diameter times pi.  We're told to use the value 3.14 for pi.

So all we have to do is multiply the diameter (10) by pi (3.14):

10 × 3.14

= 31.4

So the circle has a circumference of approximately 31.4 square inches.

25t=12.5
find the value of t

Answers

Answer:

t = 0.5

Step-by-step explanation:

Divide both sides by 25.

t = 12.5/25

t = 0.5

please help ill gibe 20 points!!

Answers

Answer:

A

Step-by-step explanation:

If Tim only has $25, then he can't buy anything past $25.

Answer:

It is A

Step-by-step explanation:

Thanks for the points

true or false? the domain of every rational function is set of all real numbers
why?​

Answers

Answer:

Its false, why? bc the domain of every rational function is need not be the set of real numbers

Step-by-step explanation:

♡ ∩_∩

(„• ֊ •„)♡

┏━∪∪━━━━┓

good luck 。 ♡

┗━━━━━━━┛

The domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

The domain of a function is the input values of the function for which it exists.

Rational functions are function that can be written as a ratio of two functions. For example given the function f(x) = 2/x-3

The domain values are the input values x. The values of x can be any values either real numbers, integers, or even natural numbers.

This means that the domain values of a rational function are not only restricted to the only set of all real numbers making the given statement false

Learn more here: https://brainly.com/question/18486099

You have completed 35% of your workout. Your workout is 35 minutes long. How much time do you have left?

Answers

Answer:

You have 12.25 minutes left to workout.

Step-by-step explanation:

the top comment is correct

1. Q1) Which number is missing from this prime factor
tree?

Answers

Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

Solve
2-x
3
25x – 33
= 3x - 1

Answers

Answer:

-75 x^2 - 31 = 3 x - 1

Step-by-step explanation:

-8s-28>4 is what? I have to solve for s​

Answers

Answer:

Step-by-step explanation:

-8s-28>4

-8s-28+28>4+28

-8s>32 we divide by 8

-s>4 we multiply by -1 and we will change the sign because of this

s<-4

Answer:

s<-4

Step-by-step explanation:

another person did it i think ^

                                               |          

If he starts at 1 and jumps 3 units to the left, then where is he on the number line? How far away from zero is he? (explain how you got your answer)

Answers

Answer:

-2, and 2 away from zero

Step-by-step explanation:

by going left, you are going negative

1-3=-2

-2+2=0, so you are 2 away from the number line

i hope i could help<3

Dora's family bought a bag of oranges. There are 6 people in Dora's family. If they ate 3/8 of the oranges, what fraction of the bag of oranges remained?

Answers

Answer:

Step-by-step explanation:

the bag of oranges is 8/8

they ate 3/8

8/8-3/8=5/8 left

i dont know plz help

Answers

Your pictures aren’t loading so I can’t see it

Solve forx: -6 < x - 1 < 9

Answers

Answer:

-5< X <10

Step-by-step explanation:

-6+1 < x < 9+1

-5 < x < 10

Answer:

- 5 < x < 10

Step-by-step explanation:

Given

- 6 < x - 1 < 9 ( add 1 to all 3 intervals )

- 5 < x < 10

Amy wants to buy a new set of paints. At store A, the cost is $22.00, and she has a coupon for 20% off. At store B, the cost is $22.50, and she has a coupon for $5 off. Which store has the better buy, and why?

Answers

Answer:

Store B

Step-by-step explanation:

Store A

20% is just 1/5 in percent form

22.00= 22*1/5 = 22/5 = 4.40

22.00-4.40=17.6

Store B

22.50-5=17.5

Now you can see that 17.5 is less than 17.6 by 0.1

True or False To find the circumference of a circle you multiply the diameter by pi

Answers

Answer:

false

Step-by-step explanation:

Formula: c=2[tex]\pi[/tex]r

Circumference= two times pi times radius

can someone SMART find the volume of those 3 boxes? ill give brainliest!!

Answers

Answer:

a. 48000 cm3

b. 12 m3

c. 37500 cm3

Step-by-step explanation:

ignore that there's an answer I accidently clicked it ​

Answers

Answer:

3) ∆RST is similar to ∆FGH by the SSS Similarity Theorem.

what is the degree of the polynomial -x^4+10x^3+x-7

Answers

Answer:

7

Step-by-step explanation:

You can find the degree of a polynomial by adding all of the exponents on a specific variable.

Which is the best first step and explanation for solving this system of equations 3x + y = 7 x + y = 3

Answers

Answer: Add the two equations together to eliminate y

Step-by-step explanation:

X+y=3

4x-y=7

I would use elimination since one equation has +y and one equation has -y

Add the two equations together

X+y=3

4x-y=7

-------------------

5x = 10

Please helppp meeeeeeeeeeeeeeeseseeedeeeeeee

Answers

Answer:

The solution x > 10 can be represented in two ways such as:

Interval Notation:        (10, ∞)Inequality Notation:     x > 10

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Interval Notation:        (10, ∞)Inequality Notation:     x > 10

Need this one quick as well, sorry.​

Answers

pretty sure if both x's are equal then they are both 104°

What is....
-5a = -0.2

Answers

Answer:

0.04

Step-by-step explanation:

negative 5 1 half plus 7 3 over 4

Answers

Answer:

[tex] 2 \dfrac{1}{4} [/tex]

Step-by-step explanation:

[tex] -5 \dfrac{1}{2} + 7 \dfrac{3}{4} = [/tex]

[tex] = -5 \dfrac{2}{4} + 7 \dfrac{3}{4} [/tex]

[tex] = 7 \dfrac{3}{4} - 5 \dfrac{2}{4} [/tex]

[tex] = 2 \dfrac{1}{4} [/tex]

Mr. Jefferson wants to sell his truck for $4800 tommy offered him 4/5 of the asking price What amount did Tommy offer

Answers

Answer:

$3840

Step-by-step explanation:

4/5 = 80%

20% of $4800 = $960

$4800 - $960 = $3840

What’s the measure of the other angle?

Answers

61 because they r congruent
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